A (5,5) and (6,6) PPT edge state
| dc.creator | Clarisse, Lieven | |
| dc.date | 2006-03-31 | |
| dc.date.accessioned | 2026-07-07T07:08:11Z | |
| dc.date.available | 2026-07-07T07:08:11Z | |
| dc.description | Entangled states with a positive partial transpose (PPTES) have interest both in quantum information and in the theory of positive maps. In $3\otimes 3$ there is a conjecture by Sanpera, Bruß and Lewenstein [PRA, 63, 050301] that all PPTES have Schmidt number two (or equivalently that every 2-positive map between $3\times 3$ matrices is decomposable). In order to prove or disprove the conjecture it is sufficient to look at edge PPTES. Here the rank m of the PPTES and the rank n of its partial transpose seem to play an important role. Until recently all known examples of edge PPTES had ranks (4,4) or (6,7). In a recent paper Ha and Kye [quant-ph/0509079] managed to find edge PPTES for all ranks except (5,5) and (6,6). Here we complement their work and present edge PPTES with those ranks. | |
| dc.description | 5 pages, comments welcome | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0603283 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0603283 | |
| dc.identifier | Physics Letters A 359 (2006) 603-607 | |
| dc.identifier | doi:10.1016/j.physleta.2006.07.045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110658 | |
| dc.subject | Quantum Physics | |
| dc.title | A (5,5) and (6,6) PPT edge state | |
| dc.type | text |